8(3x-4)=3(x-2)+12

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Solution for 8(3x-4)=3(x-2)+12 equation:


Simplifying
8(3x + -4) = 3(x + -2) + 12

Reorder the terms:
8(-4 + 3x) = 3(x + -2) + 12
(-4 * 8 + 3x * 8) = 3(x + -2) + 12
(-32 + 24x) = 3(x + -2) + 12

Reorder the terms:
-32 + 24x = 3(-2 + x) + 12
-32 + 24x = (-2 * 3 + x * 3) + 12
-32 + 24x = (-6 + 3x) + 12

Reorder the terms:
-32 + 24x = -6 + 12 + 3x

Combine like terms: -6 + 12 = 6
-32 + 24x = 6 + 3x

Solving
-32 + 24x = 6 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-32 + 24x + -3x = 6 + 3x + -3x

Combine like terms: 24x + -3x = 21x
-32 + 21x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-32 + 21x = 6 + 0
-32 + 21x = 6

Add '32' to each side of the equation.
-32 + 32 + 21x = 6 + 32

Combine like terms: -32 + 32 = 0
0 + 21x = 6 + 32
21x = 6 + 32

Combine like terms: 6 + 32 = 38
21x = 38

Divide each side by '21'.
x = 1.80952381

Simplifying
x = 1.80952381

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